Which of the following is not a negative of
''A nature number is greater than zero''

Options

A. A natural number is not greater than zero
B. It is false that a natural number is gerater than zero
C. It is false that a natural number is not greater than zero
D. None of the above

Explanation

To solve the question, we need to identify which of the given options is not a negation of the statement "A natural number is greater than zero."

### Step-by-Step Solution:

1. **Understand the Original Statement**:
- The original statement is: "A natural number is greater than zero."
- This statement is true for all natural numbers, as natural numbers start from 1 (1, 2, 3, ...).

2. **Identify the Negation**:
- The negation of a statement is the opposite of that statement.
- The negation of "A natural number is greater than zero" would be: "A natural number is not greater than zero."
- This means that either the natural number is less than or equal to zero.

3. **Examine the Options**:
- We need to evaluate the given options to see which one is not a negation of the original statement.
- Let's denote the options as:
- Option A: "A natural number is not greater than zero."
- Option B: "It is false that a natural number is greater than zero."
- Option C: "It is false that a natural number is not greater than zero."

4. **Analyze Each Option**:
- **Option A**: This is the direct negation we identified earlier. (Negation)
- **Option B**: "It is false that a natural number is greater than zero" also implies that the natural number is not greater than zero. (Negation)
- **Option C**: "It is false that a natural number is not greater than zero" means that the natural number is indeed greater than zero. This is a positive statement and not a negation of the original statement.

5. **Conclusion**:
- Therefore, the option that is not a negation of the original statement is **Option C**: "It is false that a natural number is not greater than zero."

### Final Answer:
**Option C: It is false that a natural number is not greater than zero.**

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